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To which subset of real numbers does the following number belong? square root of 7

Kay [80]

The square root of 7 is an irrational number.

8 0

2 years ago

Read 2 more answers

Is the relationship shown by the data linear? If so, model the data with an equation. X:1,5,9,13 Y:5,10,15,20

ryzh [129]

Let
A (x1,y1)-------> (1,5)
B (x2,y2)------> (5,10)
C (x3,y3)------> (9,15)
D (x4,y4)------> (13,20)

find the slope
AB
m=(10-5)/(5-1)-----> m=5/4

find the slope
CB
m=(15-10)/(9-5)-----> m=5/4

find the slope
DC
m=(20-15)/(13-9)-----> m=5/4

so
the relationship shown is linear

to model the data with an equation find the equation of a line
with m=5/4 and point A (1,5)
y-y1=m*(x-x1)-----> y-5=(5/4)*(x-1)----> y=1.25x-1.25+5-----> y=1.25x+3.75

the equation to model data is
y=1.25x+3.75

see the attached figure

3 0

3 years ago

A message source M of a digital communication system outputs a word of length 8 characters, with the characters drawn from the t

marysya [2.9K]

Answer:

The probability that M produces a word that looks like a byte is $(\frac{2}{3})^8$ .

Step-by-step explanation:

It is given that a message source M of a digital communication system outputs a word of length 8 characters.

The characters drawn from the ternary alphabet {0,1,2}, and all such words are equally probable.

Total possible outcomes is

$3\times 3\times 3\times 3\times 3\times 3\times 3\times 3=3^8$

We need to find the probability that M produces a word that looks like a byte (i.e., no appearance of ‘2’). It means only 0 and 1 are included in the word.

Total favorable outcomes is

$2\times 2\times 2\times 2\times 2\times 2\times 2\times 2=2^8$